How do you convert 3.142 (142 repeating) as a fraction?
1 Answer
Mar 10, 2016
#3.bar(142) = 3139/999#
Explanation:
Multiply by
#(1000-1)*3.bar(142) = 3142.bar(142) - 3.bar(142) = 3139#
Dividing both sides by
#3.bar(142) = 3139 / (1000-1) = 3139/999#
This improper fraction is in lowest terms, since:
#3139 = 43 * 73#
#999 = 3*3*3*37#
So